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Finding the Third Proportional to 48,215 and 104,998

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Solution

The third proportional to 48,215 and 104,998 is: 228,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,215 : 104,998 = 104,998 : x
  2. Step 2: Convert to fraction form
    48,215/104,998 = 104,998/x
  3. Step 3: Cross multiply
    48,215x = 104,998 × 104,998
  4. Step 4: Simplify right side
    48,215x = 11,024,580,004
  5. Step 5: Solve for x
    x = 11,024,580,004/48,215
  6. Step 6: Final answer
    x = 228,654.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.